Complete ξ-grills and (L,n)-merotopies

Authors:
Mona Khare;Rashmi Singh
Affiliations:
Department of Mathematics, University of Allahabad, 10, C.S.P. Singh Marg, Allahabad, U.P. 211001, India;Allahabad Mathematical Society, 10, C.S.P. Singh Marg, Allahabad, India
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

The present paper introduces the concepts of a complete @x-grill, a concept similar to that of a bunch in classical theory, and of an L-merotopy. The study of the order structure as well as the topological structure on the family of all complete @x-grills on an L-merotopic space (L^X,@x) is undertaken; corresponding to each L-Cech closure operator on a set X, an L-merotopy on X is obtained. An (L,n)-merotopy on X is also introduced and studied.